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What if the skin depth is of the order of 100 pm?

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htg

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If the skin depth is subatomic, it seems that resistance will not increase when compared with the situation when skin depth = atomic diameter.
 

Well i think you are wanting to tread well into the swamp of Maxwell's equations......Maxwell prooved to us that in fact, in any circuit, the energy propogates as EM waves,........the whole idea of electrons or holes moving about in conductors is just nonsense...but is ok because this "low frequency approximation", to all extents and purposes, works well....even though its a totally incorrect model.

If you can use an incorrect model to design something that works, then you dont care that your modelling was totally nonsense.
 

Well i think you are wanting to tread well into the swamp of Maxwell's equations...

You are absolutely correct. These equations are derived with the assumption that the matter is continuous. Once we reach the atomic dimensions, the discrete nature of matter must be considered and suitably incorporated in the equations.

The electric field due to the atoms extends beyond the surface of the atoms and you can see the effect in the reflection of light from polished metal surfaces.
 

Before that point you will start to care a lot about conductor
surface roughness, which is far greater than atomic scale
unless you're buying triple-polished unobtanium speaker
wire. ;)
 

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